Question

# A 4.80-kg ball, moving to the right at a velocity of +3.36 m/s on a frictionless...

A 4.80-kg ball, moving to the right at a velocity of +3.36 m/s on a frictionless table, collides head-on with a stationary 6.10-kg ball. Find the final velocities of (a) the 4.80-kg ball and of (b) the 6.10-kg ball if the collision is elastic. (c) Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic. (a) Number Units

here,

m1 = 4.8 kg , m2 = 6.1 kg

initial speed of 1 , u1 = 3.36 m/s

a)

let the final speeds of balls be v1 and v2

using conservation of momentum

m1 * u1 = m1 * v1 + m2 * v2

4.8 * 3.36 = 4.8 * v1 + 6.1 * v2 ...(1)

and

using conservation of kinetic energy

0.5 * m1 * u1^2 = 0.5 * m1 * v1^2 + 0.5 * m2 * v2^2

4.8 * 3.36^2 = 4.8 * v1^2 + 6.1 * v2^2 ...(2)

from (1) and (2)

v1 = - 0.4 m/s

v2 = 2.96 m/s

b)

the final speed of 6.1 kg ball is 2.96 m/s

c)

let their final speed be v

using conservation of momentum

m1 * u1 = (m1 + m2) * v

4.8 * 3.36 = ( 4.8 + 6.1) * v

v= 1.48 m/s

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